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人教版高中数学选修3离散型随机变量及其分布列(1)教学设计
4.写出下列随机变量可能取的值，并说明随机变量所取的值表示的随机试验的结果．(1)一个袋中装有8个红球，3个白球，从中任取5个球，其中所含白球的个数为X.(2)一个袋中有5个同样大小的黑球，编号为1,2,3,4,5，从中任取3个球，取出的球的最大号码记为X.(3). 在本例(1)条件下，规定取出一个红球赢2元，而每取出一个白球输1元，以ξ表示赢得的钱数，结果如何？[解] (1)X可取0,1,2,3.X＝0表示取5个球全是红球；X＝1表示取1个白球，4个红球；X＝2表示取2个白球，3个红球；X＝3表示取3个白球，2个红球．(2)X可取3,4,5.X＝3表示取出的球编号为1,2,3；X＝4表示取出的球编号为1,2,4；1,3,4或2,3,4.X＝5表示取出的球编号为1,2,5；1,3,5；1,4,5；2,3,5；2,4,5或3,4,5.(3) ξ＝10表示取5个球全是红球；ξ＝7表示取1个白球，4个红球；ξ＝4表示取2个白球，3个红球；ξ＝1表示取3个白球，2个红球．
人教版新目标初中英语九年级下册By the time I got outside, the bus had already left教案
Ⅰ． Teaching Aims and Demands1． Knowledge Objects（1） Key Vocabularyoversleep（2） Target LanguageWhat happened?I overslept． And by the time I got up, my brother had already gotten in the shower．2． Ability Objects（1） Teach the students to use the new words．（2） Train the students to narrate past events with the Past Perfect Tense．（3） Train the students' listening and speaking skills with the target language．3． Moral ObjectIt’s a good habit to go to bed early in the evening and get up early in the morning． So you’ll never be in a hurry in the morning．Ⅱ． Teaching Key Points1． Key Vocabularyoversleep2． Target LanguageNarrate past events with the Past Perfect TenseⅢ． Teaching Difficult Points1． Train the students to narrate past events with the Past Perfect Tense．2． Train the students to understand the target language in spoken conversation．Ⅳ． Teaching Methods1． Thinking of examples from the students' real lives．2． Making sentences by looking at the pictures．Ⅴ． Teaching AidA tape recorderⅥ． Teaching ProceduresStep I Revision1． Revise the language points in Unit 8．Ask some questions like this: What volunteer work would you like to do?Help the students to answer, I’d like to…/I love to…/I hope to2． Practice the dialogue in Activity 3c on page 62 again． Get students to role play the similar dialogues with the following．
人教版高中数学选修3分类变量与列联表教学设计
一、 问题导学前面两节所讨论的变量,如人的身高、树的胸径、树的高度、短跑100m世界纪录和创纪录的时间等,都是数值变量,数值变量的取值为实数.其大小和运算都有实际含义.在现实生活中,人们经常需要回答一定范围内的两种现象或性质之间是否存在关联性或相互影响的问题.例如,就读不同学校是否对学生的成绩有影响,不同班级学生用于体育锻炼的时间是否有差别,吸烟是否会增加患肺癌的风险,等等,本节将要学习的独立性检验方法为我们提供了解决这类问题的方案。在讨论上述问题时,为了表述方便,我们经常会使用一种特殊的随机变量,以区别不同的现象或性质,这类随机变量称为分类变量.分类变量的取值可以用实数表示,例如,学生所在的班级可以用1,2,3等表示,男性、女性可以用1,0表示,等等.在很多时候,这些数值只作为编号使用,并没有通常的大小和运算意义,本节我们主要讨论取值于{0,1}的分类变量的关联性问题.
人教版高中数学选修3离散型随机变量的方差教学设计
3.下结论.依据均值和方差做出结论.跟踪训练2. A、B两个投资项目的利润率分别为随机变量X1和X2，根据市场分析， X1和X2的分布列分别为X1 2% 8% 12% X2 5% 10%P 0.2 0.5 0.3 P 0.8 0.2求：(1)在A、B两个项目上各投资100万元， Y1和Y2分别表示投资项目A和B所获得的利润，求方差D(Y1)和D(Y2)；(2)根据得到的结论，对于投资者有什么建议？ 解：(1)题目可知，投资项目A和B所获得的利润Y1和Y2的分布列为：Y1 2 8 12 Y2 5 10P 0.2 0.5 0.3 P 0.8 0.2所以 ;; 解：(2) 由(1)可知 ，说明投资A项目比投资B项目期望收益要高；同时 ，说明投资A项目比投资B项目的实际收益相对于期望收益的平均波动要更大.因此，对于追求稳定的投资者，投资B项目更合适;而对于更看重利润并且愿意为了高利润承担风险的投资者，投资A项目更合适.
人教版高中数学选修3离散型随机变量的均值教学设计
对于离散型随机变量，可以由它的概率分布列确定与该随机变量相关事件的概率。但在实际问题中，有时我们更感兴趣的是随机变量的某些数字特征。例如，要了解某班同学在一次数学测验中的总体水平，很重要的是看平均分；要了解某班同学数学成绩是否“两极分化”则需要考察这个班数学成绩的方差。我们还常常希望直接通过数字来反映随机变量的某个方面的特征，最常用的有期望与方差.二、 探究新知探究1.甲乙两名射箭运动员射中目标靶的环数的分布列如下表所示：如何比较他们射箭水平的高低呢？环数X 7 8 9 10甲射中的概率 0.1 0.2 0.3 0.4乙射中的概率 0.15 0.25 0.4 0.2类似两组数据的比较,首先比较击中的平均环数,如果平均环数相等，再看稳定性.假设甲射箭n次，射中7环、8环、9环和10环的频率分别为：甲n次射箭射中的平均环数当n足够大时，频率稳定于概率，所以x稳定于7×0.1+8×0.2+9×0.3+10×0.4=9.即甲射中平均环数的稳定值(理论平均值)为9,这个平均值的大小可以反映甲运动员的射箭水平.同理，乙射中环数的平均值为7×0.15+8×0.25+9×0.4+10×0.2=8.65.
人教版高中数学选修3离散型随机变量及其分布列(2)教学设计
温故知新 1.离散型随机变量的定义可能取值为有限个或可以一一列举的随机变量,我们称为离散型随机变量.通常用大写英文字母表示随机变量,例如X,Y,Z;用小写英文字母表示随机变量的取值,例如x,y,z.随机变量的特点: 试验之前可以判断其可能出现的所有值，在试验之前不可能确定取何值；可以用数字表示2、随机变量的分类①离散型随机变量:X的取值可一、一列出；②连续型随机变量:X可以取某个区间内的一切值随机变量将随机事件的结果数量化．3、古典概型:①试验中所有可能出现的基本事件只有有限个；②每个基本事件出现的可能性相等。二、探究新知探究1.抛掷一枚骰子,所得的点数X有哪些值？取每个值的概率是多少？ 因为X取值范围是{1，2，3，4，5，6}而且"P(X=m)"=1/6,m=1,2,3,4,5,6.因此X分布列如下表所示
人教版高中数学选修3二项式系数的性质教学设计
1.对称性与首末两端“等距离”的两个二项式系数相等,即C_n^m=C_n^(n"-" m).2.增减性与最大值 当k(n+1)/2时,C_n^k随k的增加而减小.当n是偶数时,中间的一项C_n^(n/2)取得最大值;当n是奇数时,中间的两项C_n^((n"-" 1)/2) 与C_n^((n+1)/2)相等,且同时取得最大值.探究2.已知(1+x)^n =C_n^0+C_n^1 x+...〖+C〗_n^k x^k+...+C_n^n x^n 3.各二项式系数的和C_n^0+C_n^1+C_n^2+…+C_n^n=2n.令x=1 得(1+1)^n=C_n^0+C_n^1 +...+C_n^n=2^n所以，(a+b)^n 的展开式的各二项式系数之和为2^n1. 在(a+b)8的展开式中,二项式系数最大的项为 ,在(a+b)9的展开式中,二项式系数最大的项为 . 解析:因为(a+b)8的展开式中有9项,所以中间一项的二项式系数最大,该项为C_8^4a4b4=70a4b4.因为(a+b)9的展开式中有10项,所以中间两项的二项式系数最大,这两项分别为C_9^4a5b4=126a5b4,C_9^5a4b5=126a4b5.答案:1.70a4b4 126a5b4与126a4b5 2. A=C_n^0+C_n^2+C_n^4+…与B=C_n^1+C_n^3+C_n^5+…的大小关系是( )A.A>B B.A=B C.A<B D.不确定 解析:∵(1+1)n=C_n^0+C_n^1+C_n^2+…+C_n^n=2n,(1-1)n=C_n^0-C_n^1+C_n^2-…+(-1)nC_n^n=0,∴C_n^0+C_n^2+C_n^4+…=C_n^1+C_n^3+C_n^5+…=2n-1,即A=B.答案:B
人教版高中数学选修3成对数据的相关关系教学设计
由样本相关系数??≈0.97,可以推断脂肪含量和年龄这两个变量正线性相关，且相关程度很强。脂肪含量与年龄变化趋势相同.归纳总结1．线性相关系数是从数值上来判断变量间的线性相关程度，是定量的方法．与散点图相比较，线性相关系数要精细得多，需要注意的是线性相关系数r的绝对值小，只是说明线性相关程度低，但不一定不相关，可能是非线性相关．2．利用相关系数r来检验线性相关显著性水平时，通常与0.75作比较，若|r|>0.75，则线性相关较为显著，否则不显著．例2. 有人收集了某城市居民年收入(所有居民在一年内收入的总和)与A商品销售额的10年数据,如表所示.画出散点图，判断成对样本数据是否线性相关，并通过样本相关系数推断居民年收入与A商品销售额的相关程度和变化趋势的异同.
人教版高中数学选修3一元线性回归模型及其应用教学设计
1.确定研究对象，明确哪个是解释变量，哪个是响应变量；2.由经验确定非线性经验回归方程的模型；3.通过变换，将非线性经验回归模型转化为线性经验回归模型；4.按照公式计算经验回归方程中的参数，得到经验回归方程；5.消去新元，得到非线性经验回归方程；6.得出结果后分析残差图是否有异常 ．跟踪训练1.一只药用昆虫的产卵数y与一定范围内的温度x有关，现收集了6组观测数据列于表中： 经计算得： 线性回归残差的平方和: ∑_(i=1)^6?〖(y_i-(y_i ) ?)〗^2=236,64,e^8.0605≈3167.其中 分别为观测数据中的温度和产卵数，i=1,2,3,4,5,6.(1)若用线性回归模型拟合，求y关于x的回归方程 (精确到0.1）；(2)若用非线性回归模型拟合，求得y关于x回归方程为 且相关指数R2＝0.9522． ①试与(1)中的线性回归模型相比较，用R2说明哪种模型的拟合效果更好 ?②用拟合效果好的模型预测温度为35℃时该种药用昆虫的产卵数.(结果取整数).
新人教版高中英语必修1Unit 1 Teenage Life-Listening and Speaking & Listening and Talking教案
Step 2 Listening and Talking1. The teacher is advised to talk with their new students about the related topic: Boys and girls, do you know some structures to talk about future activities? Talking about future activitiesWe’ll …I plan to …There’ll be …I hope to …We’re going to …2. After their small talk, the teacher can move on by playing the listening and solve the following task.Underline the expressions in the sentences below Cao Jing and Max use to talk about the future.We’ll learn useful skills.I plan to improve my spoken English.There’ll be students from different schools.I hope to make new friends.We’ll talk about teenage life.I’ll learn to make a fire.There’ll be students from different countries at the camp.There’ll be some experts there to show us how to live in the wild.We’re going to learn about wildlife.I’m going to give a speech.I think I’m going to enjoy the activities.I think we’ll have a lot of fun.3. Work in groups. Plan a youth camp.Teacher make the Ss think of ideas for the camp. And they can use the questions below to get started. And have the Ss present their ideas for a youth camp to the class.●What kind of camp is it?●Who will be there?●What will they do?●What will they learn?
新人教版高中英语必修1Unit 2 Travelling Around-Listening and Speaking & Listening and Talking教案
【教学目标与核心素养】1. Instruct students to get main facts by listening and motivate them to talk about the topics about how to prepare for the trip and make reservations by listening and ultimately can make travel arrangements and reservations. 2. Develop students’ sense of cooperative learning and individual thinking capability. 3. Develop students’ different listening skills to solve different listening comprehensive problems.4. Help students to understand how to use the structures “the present continuous tense (be doing) is used to express future plans.【教学重难点】1. Teach students how to focus on key words, not on single words or grammar.2. Prompt Ss to talk about the related topics, such as how to prepare for the trip and make a travel plan.【教学过程】Step 1: Listening and SpeakingLead inThe teacher is advised to talk with their students about the places that they want to travel most both at home and abroad: boys and girls, if you have a chance to travel around the world, where will you go? After their small talk, the teacher can move on by finishing the following listening task:Before travelling, what do we need to prepare for the trip?
新人教版高中英语必修1Unit 3 Sports and Fitness- Discovering Useful Structures—tag questions教案
【教材分析】This teaching period mainly deals with the grammar: tag questions.This period carries a considerable significance to the cultivation of students’ spoken English. The teacher is expected to enable students to master this period thoroughly and consolidate the knowledge by doing some exercise of good quality.【教学目标与核心素养】1. Get students to have a good understanding of the basic usages of tag questions.2. Enable students to use the basic phrases structures flexibly.3. Develop students’ speaking and cooperating abilities.4. Strengthen students’ great interest in grammar learning.【教学重难点】1. How to enable students to have a good understanding of the basic usages of tag questions.2. How to enable students to use the basic usages of tag questions flexibly.【教学过程】Step1: 语法自主探究一、基本组成方法1.肯定式陈述部分+否定附加疑问部分（前肯后否） You often play badminton, don’t you? 你经常打羽毛球，是吗？You are going to the gym with me, aren’t you?你要和我一起去健身房，是吗？She’s been to shanghai before, hasn’t she? 她以前去过上海，是吗？2.否定式陈述部分+肯定附加疑问部分（前否后肯） It isn't a beautiful flower, is it? 那不是美丽的花，是吗？You didn't go skating yesterday, did you? 你昨天没去滑冰，是吗？They can’t finish it by Friday, can they?他们不能在星期五之前完成，是吗？
新人教版高中英语必修1Unit 3 Sports and Fitness-Listening and Speaking & Listening and Talking教案
Finally, after finishing the task above, the teacher is expected to instruct students to work in groups to finish the following project:Speaking ProjectWhat event or activity would you like to invite your friend to? Make a conversation with a partner.Ski Race: Zhangjiakou, a beautiful city in northern China, will host the Youth Ski Race in December.Track Meet: a great event for track –and –field lovers on 26 October.Gym Class: come and work out at a gym! You can make it.Part 2: Listening and Talking:The teacher is advised to talk with their new students about the related topic: Boys and girls , what do you think of sportsmanship? Let’s listen and find out:Play the listening and match each opinion with the right speaker. Who do you agree with? Why?Cao Jing _____________ Lily _____________ Max _____________A. An athlete should do his/her best to win.B. The girl should stop and help the other girl. Good sportsmanship is more important than wining!C. An athlete should think about honor and his/her fans if he/she is competing for his/her country.Listen again and circle the expressions that you hear in the conversation.
小学英语说课稿全英文15分钟版
一、 说教材 Firstly, let’s focus on theteaching material. It include 3 parts: teaching status、teachingaim、the key and difficult points. Now, I will talk about the analysis of teaching status: 1. 教学地位(体现教材的整合) The lesson is the first Unit of Module . It focuses on the topic of , and serves as a connectinglink between the preceding and the following unit. So we can see that it playan important role in the whole book. 2. 教学目标 (根据具体内容定目标和要求) The main instructional aims of teaching English inprimary school is to cultivate pupils’ basic abilitiesof their listening and speaking and their good sense of the English language,so I design 3 aims：
蓝黄色英语教师英文简历
Major in:Chinese, mathematics,foreign languages, history, ideology and politics, geography, chemistry,physics, biologyEnglishmajor, undergraduate, majoring in: English intensive reading, English extensivereading, English listening, English grammar, oral English, English writingEducationmajor, graduate student, major in: introduction to education, generalpsychology, developmental psychology, educational psychology
人教版新目标初中英语八年级下册If you go to the party, you’ll have a great time教案2篇
区分宾语从句、定于从句和状语从句宾语从句和状语从句，都叫做主从复合句。宾语从句主要是中考必考的，是初中阶段必掌握的从句，宾语从句主要是掌握三要素，所谓宾语从句，就是宾语在主从复合句当中充当宾语的一个句子，叫做宾语从句。主句的谓语动词是及物动词，后面如果是词或者是短语的话，是简单句，如果是句子的话，肯定是宾语从句。I know that he good at English.就是宾语从句，三要素，一要素是要注意连词，连词一共学了三类连词，一类连词是that口语当中可以省略，就像刚才说的那一句，I hear he is good at English.还有疑问代词、疑问副词，how where when，疑问代词、疑问副词。还有一类连词weather是否的意思，不是状语从句当中的如果，这一定要和如果区分开，这是是否。I don't know if he interested at English。宾语从句要注意if是连词。第二要素是语序，要用陈述举语序。比如说你家有几口人，我们都说How many people are there in you family?但是这是简单句，一旦说成宾语从句，你可以告诉我你家有几口人吗？Could you tell me how many people there are in you family ?
人教版新目标初中英语八年级下册What were you doing when the UFO arrived教案2篇
(一).知识方面: 1.培养学生能运用过去进行时来描述、谈论过去某个时间正在发生的事情或动作的意识和能力，能就过去某个时间正在发生的动作做出正确的描述。 2.培养学生的想象力和角色扮演的合作能力。 3.培养学生讲述过去发生的事情经过的能力。能正确运用一般过去时来讲述故事。 (二).技能方面: 1.本单元的语言目标是Talk about past events and tell a story（谈论过去的时间和讲述一个故事），围绕这一目标，要涉及句型： What were you doing when the UFO arrived? ----I was sitting in the barber’s chair. The barber was cutting my hair. 因此必须学习standing、studying、cleaning、sleeping、cooking、making、eating、cutting、等表示地点的词，以便为上述句型提供语言材料。2.学习过去进行时的有关知识。Was/were+现在分词，是该时态的表达式。 3.在学习过程中，要区分The boy was walking down the street when the UFO landed.和While the boy was walking down the street, the UFO landed.这两种由when和while引导的状语从句的句型结构。注意它们的不同。
人教版新目标初中英语九年级下册Could you please tell me where the restrooms are教案
Step Ⅰ RevisionCheck homework． Ask a few students to read the article in 3a．Then ask a few students to read their guides．Step Ⅱ Part 1Look at the words in the box． Ask a student to read them． Make sure the students understand the meaning of the words． You are to fill in the blanks with the words． In some cases, students may need to use another form of the word, for example adjusting for tense or subject/ verb agreement．Ask students to fill in the blanks on their own．Check the answers． Step ⅢPart 2Go through the instructions with the class．Look at the example with the students．Ask students what the answer would be．Ask a student to read the question and answer it．Excuse me, could you tell me where the bank is, please?The bank is across the street from the shopping malt．Get students to complete the work in pairs．Check the answers． Ask a few students to read their questions．Step Ⅳ Just for Fun!Ask all the students to read the conversation． Ask: What is funny about this cartoon? Help students to explain． A Martian is a person from the planet Mars．There is no such thing as Martian food on Earth, and the clerk looks silly because he is trying to think of where there is a Martian restaurant．Invite some pairs of students to present this conversation to the rest of the class．Step Ⅴ Summary and HomeworkIn this class, we’ve done much writing practice using the key vocabulary words and the target language presented in this unit． After class, please finish the questions in 2 in your exercise books． Then finish the exercises on pages 47～48 of the workbook as well．The Seventh Period Ⅰ Teaching Aims and Demands1． Knowledge Objects（1） Key Vocabularyimage, adventure, jealousy, hero, crime, journey, brave, no longer, show interest in, take it easy, become interested in, plain looks（2）Text:Grown-ups like cartoons, too．2． Ability Objects（1） Fast-reading to get a general idea of the text．（2） Careful-reading to get the detailed information in the text．
人教版新目标初中英语九年级下册I’ll help clean up the city parks教案
Talk about offering help (P60)I’ll help clean up the city parks.A: I’d like to work ...B: You could help ...Talk about ways to tell people about the Clean-Up Day (P61)We need to ...We can’t ...I’ll ...Talk about the work the volunteers do (P62)These three students all volunteer their time to help other people.Somebody loves to ... / helps ... / plans to ... / wants to ...A: What do you like doing?B: I like ... A: What kind of volunteer work do you think I could do?B: You could ...1. 重点词汇advertisement, fix, repair, pleasure, blind, deaf, shut, carry, specially, fetch2. 认读词汇hunger, homeless, cheer, clean-up, sign, establish, major, commitment, elementary, veterinarian, coach, similar, call-in, strategy, disabled, organization, unable, support, appreciate, donation, part of speech, pronoun, adverb, preposition, conjunction, donate, Jimmy, Sally3. 词组clean up, cheer up, give out, put off, set up, think up, take after, fix up, give away, put up, hand out, work out, at once
人教版新目标初中英语九年级下册We’re trying to save the manatees教案2篇
本单元主要围绕着有关濒临灭绝的动物这一话题，学习了应该怎样保护我们的环境，以及就某一问题展开辩论。目标提示语言目标能够运用所学知识，就某一问题展开辩论。认知目标1、复习一些语法：现在进行时、一般现在时、用used to 表示一般过去时、现在完成时、一般过去时的被动语态。2、学会表达同意和不同意。3、学会以下基本句型：We’re trying to save the manatees.Manatees eat about 100 pounds of food a day.There used to be a lot of manatees.In 1972,it was discovered that they were endangered.Some of the swamps have become polluted.情感目标了解一些濒临灭绝的动物的生活习性和濒临灭绝的原因，教育学生应该如何保护环境。教学提示充分利用多媒体等教学设备，创设与本课话题相关的情境，如各种不同种类的动物、动物园以及有关环境的画画等等。围绕着本单元的教学目标，设计一些贴近学生实际的教学任务，如让学生谈论自己最喜欢的动物，如何拯救濒危动物，如何保护环境等等。让学生根据所学知识，就动物园是否对动物有利以及其他的话题进行辩论。